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10143305000 = 235417472539
BaseRepresentation
bin10010111001001011…
…01000110100101000
3222011220102021121222
421130211220310220
5131233141230000
64354302121212
7506234445533
oct113445506450
928156367558
1010143305000
1143356a41a4
121b70b80208
13c585b3c2a
146c31c7a1a
153e5768a85
hex25c968d28

10143305000 has 160 divisors (see below), whose sum is σ = 25709270400. Its totient is φ = 3735936000.

The previous prime is 10143304933. The next prime is 10143305009. The reversal of 10143305000 is 50334101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10143305000.

It is not an unprimeable number, because it can be changed into a prime (10143305009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3993731 + ... + 3996269.

It is an arithmetic number, because the mean of its divisors is an integer number (160682940).

Almost surely, 210143305000 is an apocalyptic number.

10143305000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10143305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12854635200).

10143305000 is an abundant number, since it is smaller than the sum of its proper divisors (15565965400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10143305000 is a wasteful number, since it uses less digits than its factorization.

10143305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 10143305000 its reverse (50334101), we get a palindrome (10193639101).

The spelling of 10143305000 in words is "ten billion, one hundred forty-three million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 47 50 68 85 94 100 125 136 170 188 200 235 250 340 376 425 470 500 625 680 799 850 940 1000 1175 1250 1598 1700 1880 2125 2350 2500 2539 3196 3400 3995 4250 4700 5000 5078 5875 6392 7990 8500 9400 10156 10625 11750 12695 15980 17000 19975 20312 21250 23500 25390 29375 31960 39950 42500 43163 47000 50780 58750 63475 79900 85000 86326 99875 101560 117500 119333 126950 159800 172652 199750 215815 235000 238666 253900 317375 345304 399500 431630 477332 499375 507800 596665 634750 799000 863260 954664 998750 1079075 1193330 1269500 1586875 1726520 1997500 2028661 2158150 2386660 2539000 2983325 3173750 3995000 4057322 4316300 4773320 5395375 5966650 6347500 8114644 8632600 10143305 10790750 11933300 12695000 14916625 16229288 20286610 21581500 23866600 26976875 29833250 40573220 43163000 50716525 53953750 59666500 74583125 81146440 101433050 107907500 119333000 149166250 202866100 215815000 253582625 298332500 405732200 507165250 596665000 1014330500 1267913125 2028661000 2535826250 5071652500 10143305000